105242397 has 16 divisors (see below), whose sum is σ = 151807488. Its totient is φ = 64468800.

The previous prime is 105242383. The next prime is 105242477. The reversal of 105242397 is 793242501.

It is not a de Polignac number, because 105242397 - 2¹⁴ = 105226013 is a prime.

It is a super-2 number, since 2×105242397² = 22151924252611218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105242317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2647 + ... + 14747.

It is an arithmetic number, because the mean of its divisors is an integer number (9487968).

Almost surely, 2^105242397 is an apocalyptic number.

It is an amenable number.

105242397 is a deficient number, since it is larger than the sum of its proper divisors (46565091).

105242397 is a wasteful number, since it uses less digits than its factorization.

105242397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12340.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105242397 is about 10258.7717101025. The cubic root of 105242397 is about 472.1321523214.

Adding to 105242397 its reverse (793242501), we get a palindrome (898484898).

It can be divided in two parts, 10524 and 2397, that added together give a palindrome (12921).

The spelling of 105242397 in words is "one hundred five million, two hundred forty-two thousand, three hundred ninety-seven".